329463420 has 384 divisors, whose sum is σ = 1192181760. Its totient is φ = 66769920.

The previous prime is 329463397. The next prime is 329463457. The reversal of 329463420 is 24364923.

It is a super-2 number, since 2×329463420² = 217092290236192800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7009837 + ... + 7009883.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^329463420 is an apocalyptic number.

329463420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329463420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

329463420 is an abundant number, since it is smaller than the sum of its proper divisors (862718340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329463420 is a wasteful number, since it uses less digits than its factorization.

329463420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 329463420 is about 18151.1272377227. The cubic root of 329463420 is about 690.6675748751.

The spelling of 329463420 in words is "three hundred twenty-nine million, four hundred sixty-three thousand, four hundred twenty".